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101230200320 = 295193756249
BaseRepresentation
bin101111001000111001…
…0100100011000000000
3100200021220110222211112
41132101302210120000
53124304412402240
6114300550302452
710212402335234
oct1362162443000
9320256428745
10101230200320
1139a27899887
1217751957a28
139713649122
144c845b25c4
15297723d665
hex1791ca4600

101230200320 has 160 divisors (see below), whose sum is σ = 262399500000. Its totient is φ = 37323472896.

The previous prime is 101230200317. The next prime is 101230200343. The reversal of 101230200320 is 23002032101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 101230200295 and 101230200304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1771556 + ... + 1827804.

It is an arithmetic number, because the mean of its divisors is an integer number (1639996875).

Almost surely, 2101230200320 is an apocalyptic number.

101230200320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101230200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131199750000).

101230200320 is an abundant number, since it is smaller than the sum of its proper divisors (161169299680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101230200320 is an equidigital number, since it uses as much as digits as its factorization.

101230200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56328 (or 56312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 101230200320 its reverse (23002032101), we get a palindrome (124232232421).

The spelling of 101230200320 in words is "one hundred one billion, two hundred thirty million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 37 38 40 64 74 76 80 95 128 148 152 160 185 190 256 296 304 320 370 380 512 592 608 640 703 740 760 1184 1216 1280 1406 1480 1520 2368 2432 2560 2812 2960 3040 3515 4736 4864 5624 5920 6080 7030 9472 9728 11248 11840 12160 14060 18944 22496 23680 24320 28120 44992 47360 48640 56240 56249 89984 94720 112480 112498 179968 224960 224996 281245 359936 449920 449992 562490 899840 899984 1068731 1124980 1799680 1799968 2081213 2137462 2249960 3599936 4162426 4274924 4499920 5343655 7199872 8324852 8549848 8999840 10406065 10687310 14399744 16649704 17099696 17999680 20812130 21374620 28799488 33299408 34199392 35999360 39543047 41624260 42749240 66598816 68398784 71998720 79086094 83248520 85498480 133197632 136797568 143997440 158172188 166497040 170996960 197715235 266395264 273595136 316344376 332994080 341993920 395430470 532790528 547190272 632688752 665988160 683987840 790860940 1065581056 1265377504 1331976320 1367975680 1581721880 2530755008 2663952640 2735951360 3163443760 5061510016 5327905280 6326887520 10123020032 12653775040 20246040064 25307550080 50615100160 101230200320